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Finding the Fourth Proportional to 323,702.34, 446,900.82 and 287,793

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Solution

The fourth proportional to 323,702.34, 446,900.82 and 287,793 is: 397,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,702.34 : 446,900.82 = 287,793 : x
  2. Step 2: Convert to fraction form
    323,702.34/446,900.82 = 287,793/x
  3. Step 3: Cross multiply
    323,702.34x = 446,900.82 × 287,793
  4. Step 4: Simplify right side
    323,702.34x = 128,614,927,690.26
  5. Step 5: Solve for x
    x = 128,614,927,690.26/323,702.34
  6. Step 6: Final answer
    x = 397,324.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.